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Geodesies on typical convex surfaces

Peter Manfred Gruber (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Using Baire categories uniqueness of geodesic segments and existence of closed geodesics on typical convex surfaces are investigated.

Geometric approaches to establish the fundamentals of Lorentz spaces 2 3 and 1 2

Sevilay Çoruh Şenocak, Salim Yüce (2024)

Mathematica Bohemica

The aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space 2 3 . Hyperbolic cosine formulas are given for all triangle types in the Minkowski plane 1 2 . Moreover, the Pedoe inequality is explained for each type of triangle with the help of hyperbolic cosine formulas. Thus, the Pedoe inequality allowed us to establish a connection between two similar triangles in the Minkowski plane. In the continuation of the study, the rotation...

Geometric constructions and representations

Wolf, Joseph A. (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]Let G be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of G on Dolbeault cohomology spaces and the tempered series of representations of G on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric quantization....

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